Pith Number

pith:2LVZQI2K

pith:2009:2LVZQI2KLH27RGBLCC5SW6AQAH

not attested not anchored not stored refs pending

Topological self-similarity on the random binary-tree model

Ken Yamamoto, Yoshihiro Yamazaki

arxiv:0910.4795 v1 · 2009-10-26 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LVZQI2KLH27RGBLCC5SW6AQAH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:22:08.315081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2eb98234a59f5f8982b10bb2b781001fa1dee4a05649a75ad3e381fbe173043

Aliases

arxiv: 0910.4795 · arxiv_version: 0910.4795v1 · doi: 10.48550/arxiv.0910.4795 · pith_short_12: 2LVZQI2KLH27 · pith_short_16: 2LVZQI2KLH27RGBL · pith_short_8: 2LVZQI2K

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2LVZQI2KLH27RGBLCC5SW6AQAH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d2eb98234a59f5f8982b10bb2b781001fa1dee4a05649a75ad3e381fbe173043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c897348a98cd2c2ce08b21f9ebea1735d6df76611adf28c709f5fed43eadf2ca",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-10-26T02:25:03Z",
    "title_canon_sha256": "ad6ef5b88087849fccbc4ebf1b09ed1e0849dfa2ae98d6a91a299790925bfbff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4795",
    "kind": "arxiv",
    "version": 1
  }
}